{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [],
   "source": [
    "from gs_quant.markets.securities import AssetIdentifier, SecurityMaster\n",
    "from gs_quant.timeseries.measures import forward_vol, VolReference, implied_volatility\n",
    "from gs_quant.timeseries.algebra import *\n",
    "from gs_quant.timeseries.analysis import *\n",
    "from gs_quant.data import DataContext\n",
    "from gs_quant.instrument import EqOption\n",
    "from gs_quant.markets.portfolio import Portfolio\n",
    "from gs_quant.risk import EqDelta, EqGamma, EqVega, DollarPrice, Price\n",
    "from gs_quant.markets import PricingContext\n",
    "from gs_quant.backtests.triggers import *\n",
    "from gs_quant.backtests.actions import *\n",
    "from gs_quant.backtests import FlowVolBacktestMeasure\n",
    "from gs_quant.backtests.strategy import Strategy\n",
    "from gs_quant.backtests.equity_vol_engine import EquityVolEngine\n",
    "from gs_quant.session import GsSession, Environment\n",
    "\n",
    "from dateutil.relativedelta import relativedelta\n",
    "from datetime import date, datetime\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "pd.options.display.float_format = '{:,.2f}'.format"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [],
   "source": [
    "# external users should substitute their client id and secret; please skip this step if using internal jupyterhub\n",
    "GsSession.use(Environment.PROD, client_id=None, client_secret=None, scopes=('run_analytics',))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this notebook, we will take a look at historical and future implied trends in equity implied volatility, formulate a trade idea, analyze a trading strategy backtest and calculate spot price and greeks. This is an example of the GS Quant functionalities and it is not a recommendation of a trade in the instruments discussed, please follow up with your salesperson to discuss specific implementations.\n",
    "\n",
    "* [1 - Analyze Vol Spread](#2---Analyze-Vol-Spread)\n",
    "* [2 - Trade Idea & Backtest](#3---Trade-Idea-&-Backtest)\n",
    "* [3 - Compare Performance](#4---Compare-Performance)\n",
    "* [4 - Price & Greeks](#5---Price-&-Greeks)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1 - Analyze Vol Spread\n",
    "\n",
    "Let's start by looking at historical forward vol for SPX and SX5E."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def forward_vol_spread(asset1, asset2, tenor, forward_date):\n",
    "    '''\n",
    "    Calculate the forward starting vol spread between two assets\n",
    "    '''\n",
    "    asset1_sec = SecurityMaster.get_asset(asset1, AssetIdentifier.BLOOMBERG_ID)\n",
    "    asset2_sec = SecurityMaster.get_asset(asset2, AssetIdentifier.BLOOMBERG_ID)\n",
    "    \n",
    "    implied = lambda asset: implied_volatility(asset, tenor, VolReference.FORWARD, 100)\n",
    "    forward = lambda asset: forward_vol(asset, tenor, forward_date, VolReference.FORWARD, 100)\n",
    "    \n",
    "    asset1_fvol = implied(asset1_sec) if forward_date=='0m' else forward(asset1_sec)\n",
    "    asset2_fvol = implied(asset2_sec) if forward_date=='0m' else forward(asset2_sec)\n",
    "                                                                        \n",
    "    return subtract(asset1_fvol, asset2_fvol)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "start_date, end_date = date(2014, 1, 1), date(2020, 11, 2)\n",
    "DataContext.current = DataContext(start=start_date, end=end_date)\n",
    "\n",
    "sx5e_spx_fvs = forward_vol_spread('SX5E', 'SPX', '2y', '1y')\n",
    "\n",
    "current_roll_data = {}\n",
    "for rMonth in [0, 6, 9, 12]:\n",
    "    d = end_date + relativedelta(months=rMonth)\n",
    "    months_to_start = 12 - rMonth\n",
    "    curve = forward_vol_spread('SX5E', 'SPX', '2y', f'{months_to_start}m')\n",
    "    if curve.size:\n",
    "        current_roll_data[d] = last_value(curve)\n",
    "current_roll = pd.Series(current_roll_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sx5e_spx_fvs.plot(figsize=(12, 6), legend=True, label='SX5E vs SPX', title='Vol Spread')\n",
    "current_roll.plot(figsize=(12, 6), legend=True, label='Current Spread Roll-Up')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2 - Trade Idea & Backtest\n",
    "\n",
    "The analysis shows a projected narrowing of vol spread between SX5E and SPX. Let's create an option trading strategy that takes advantage of this and backtest it to see how it could have performed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create instruments\n",
    "sx5e_straddle = (EqOption('.STOXX50E', '3y', 'ATMF', 'Call'), EqOption('.STOXX50E', '3y', 'ATMF','Put'))\n",
    "spx_straddle = (EqOption('.SPX', '3y', 'ATMF', 'Call', multiplier=1), EqOption('.SPX', '3y', 'ATMF', 'Put', multiplier=1))\n",
    "\n",
    "# Define triggers for trade and hedge actions.\n",
    "\n",
    "# Trade and roll 1 sx5e_straddle every 1m\n",
    "trade_sx5e_action = EnterPositionQuantityScaledAction(priceables=Portfolio(sx5e_straddle), trade_duration='1m', trade_quantity=1, trade_quantity_type=BacktestTradingQuantityType.quantity)\n",
    "trade_sx5e_trigger = PeriodicTrigger(trigger_requirements=PeriodicTriggerRequirements(start_date=start_date, end_date=end_date, frequency='1m'),\n",
    "                                actions=trade_sx5e_action)\n",
    "\n",
    "# Hedge sx5e_straddle delta every business day\n",
    "hedge_sx5e_action = HedgeAction(EqDelta, priceables=Portfolio(sx5e_straddle), trade_duration='B')\n",
    "hedge_sx5e_trigger = PeriodicTrigger(trigger_requirements=PeriodicTriggerRequirements(start_date=start_date, end_date=end_date, frequency='B'),\n",
    "                                actions=hedge_sx5e_action)\n",
    "\n",
    "# Trade and roll 1 spx_straddle every 1m\n",
    "trade_spx_action = EnterPositionQuantityScaledAction(priceables=Portfolio(spx_straddle), trade_duration='1m', trade_quantity=1, trade_quantity_type=BacktestTradingQuantityType.quantity)\n",
    "trade_spx_trigger = PeriodicTrigger(trigger_requirements=PeriodicTriggerRequirements(start_date=start_date, end_date=end_date, frequency='1m'),\n",
    "                                actions=trade_spx_action)\n",
    "\n",
    "# Hedge spx_straddle delta every business day\n",
    "hedge_spx_action = HedgeAction(EqDelta, priceables=Portfolio(spx_straddle), trade_duration='B')\n",
    "hedge_spx_trigger = PeriodicTrigger(trigger_requirements=PeriodicTriggerRequirements(start_date=start_date, end_date=end_date, frequency='B'),\n",
    "                                actions=hedge_spx_action)\n",
    "\n",
    "EqVolE = EquityVolEngine()\n",
    "\n",
    "# Define SX5E backtest\n",
    "triggers_sx5e = [trade_sx5e_trigger, hedge_sx5e_trigger]\n",
    "\n",
    "strategy_sx5e_result = EqVolE.run_backtest(Strategy(None, triggers_sx5e), start=start_date, end=end_date)\n",
    "perf_sx5e = strategy_sx5e_result.get_measure_series(FlowVolBacktestMeasure.PNL)\n",
    "\n",
    "# Define SPX backtest\n",
    "triggers_spx = [trade_spx_trigger, hedge_spx_trigger]\n",
    "\n",
    "strategy_spx_result = EqVolE.run_backtest(Strategy(None, triggers_spx), start=start_date, end=end_date)\n",
    "perf_spx = strategy_spx_result.get_measure_series(FlowVolBacktestMeasure.PNL)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "jupyter": {
     "source_hidden": true
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "perf_sx5e_spx_spread = subtract(perf_sx5e, perf_spx)\n",
    "perf_sx5e_spx_spread.index = pd.DatetimeIndex(perf_sx5e_spx_spread.index)\n",
    "perf_sx5e_spx_spread.plot(figsize=(12, 6), title='Strategy SX5E vs SPX 3y Vol Spread')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3 - Compare Performance\n",
    "\n",
    "Now let's plot the trading strategy with the actual SX5E vs SPX vol spread to see how the two compare."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax1 = plt.subplots()\n",
    "\n",
    "# left axis\n",
    "ax1.set_xlabel('date')\n",
    "ax1.set_ylabel('Vol Spread',color='tab:red')\n",
    "\n",
    "#right axis\n",
    "ax2 = ax1.twinx() \n",
    "ax2.set_ylabel('Strategy PNL', color='tab:blue')  \n",
    "\n",
    "sx5e_spx_fvs.plot(figsize=(12, 6), ax=ax1, color='tab:red')\n",
    "current_roll.plot(figsize=(12, 6), ax=ax1, color='tab:green', legend=True, label='Current Spread Roll-Up')\n",
    "perf_sx5e_spx_spread.plot(figsize=(12, 6), ax=ax2, color='tab:blue')\n",
    "\n",
    "fig.tight_layout() \n",
    "plt.xlim(start_date, end_date + relativedelta(years=1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4 - Price & Greeks\n",
    "\n",
    "Finallly, let's calculate current strategy price and greeks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Strategy Price$: -4.5888085670912915\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr:last-of-type th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>SPX</th>\n",
       "      <th>SX5E</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>value</th>\n",
       "      <th>value</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>risk_measure</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>EqDelta</th>\n",
       "      <td>613.43</td>\n",
       "      <td>619.86</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EqGamma</th>\n",
       "      <td>86.84</td>\n",
       "      <td>129.77</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EqVega</th>\n",
       "      <td>50.90</td>\n",
       "      <td>57.17</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                SPX   SX5E\n",
       "              value  value\n",
       "risk_measure              \n",
       "EqDelta      613.43 619.86\n",
       "EqGamma       86.84 129.77\n",
       "EqVega        50.90  57.17"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sx5e_straddle_port, spx_straddle_port = Portfolio(sx5e_straddle), Portfolio(spx_straddle)\n",
    "\n",
    "# Price and greeks in USD\n",
    "sx5e_straddle_price = sx5e_straddle_port.calc(DollarPrice).aggregate()\n",
    "spx_straddle_price = spx_straddle_port.calc(DollarPrice).aggregate()\n",
    "print(f'Strategy Price$: {sx5e_straddle_price - spx_straddle_price}')\n",
    "\n",
    "greeks = (EqDelta, EqGamma, EqVega)\n",
    "sx5e_straddle_greeks = sx5e_straddle_port.calc(greeks).aggregate().to_frame()\n",
    "spx_straddle_greeks = spx_straddle_port.calc(greeks).aggregate().to_frame()\n",
    "pd.concat([spx_straddle_greeks,sx5e_straddle_greeks],keys=['SPX', 'SX5E']).transpose()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Disclaimers\n",
    "\n",
    "Indicative Terms/Pricing Levels: This material may contain indicative terms only, including but not limited to pricing levels. There is no representation that any transaction can or could have been effected at such terms or prices. Proposed terms and conditions are for discussion purposes only. Finalized terms and conditions are subject to further discussion and negotiation.\n",
    "www.goldmansachs.com/disclaimer/sales-and-trading-invest-rec-disclosures.html If you are not accessing this material via Marquee ContentStream, a list of the author's investment recommendations disseminated during the preceding 12 months and the proportion of the author's recommendations that are 'buy', 'hold', 'sell' or other over the previous 12 months is available by logging into Marquee ContentStream using the link below. Alternatively, if you do not have access to Marquee ContentStream, please contact your usual GS representative who will be able to provide this information to you.\n",
    "Backtesting, Simulated Results, Sensitivity/Scenario Analysis or Spreadsheet Calculator or Model: There may be data presented herein that is solely for illustrative purposes and which may include among other things back testing, simulated results and scenario analyses. The information is based upon certain factors, assumptions and historical information that Goldman Sachs may in its discretion have considered appropriate, however, Goldman Sachs provides no assurance or guarantee that this product will operate or would have operated in the past in a manner consistent with these assumptions. In the event any of the assumptions used do not prove to be true, results are likely to vary materially from the examples shown herein. Additionally, the results may not reflect material economic and market factors, such as liquidity, transaction costs and other expenses which could reduce potential return.\n",
    "OTC Derivatives Risk Disclosures: \n",
    "Terms of the Transaction: To understand clearly the terms and conditions of any OTC derivative transaction you may enter into, you should carefully review the Master Agreement, including any related schedules, credit support documents, addenda and exhibits. You should not enter into OTC derivative transactions unless you understand the terms of the transaction you are entering into as well as the nature and extent of your risk exposure. You should also be satisfied that the OTC derivative transaction is appropriate for you in light of your circumstances and financial condition. You may be requested to post margin or collateral to support written OTC derivatives at levels consistent with the internal policies of Goldman Sachs. \n",
    "\n",
    "Liquidity Risk: There is no public market for OTC derivative transactions and, therefore, it may be difficult or impossible to liquidate an existing position on favorable terms. Transfer Restrictions: OTC derivative transactions entered into with one or more affiliates of The Goldman Sachs Group, Inc. (Goldman Sachs) cannot be assigned or otherwise transferred without its prior written consent and, therefore, it may be impossible for you to transfer any OTC derivative transaction to a third party. \n",
    "\n",
    "Conflict of Interests: Goldman Sachs may from time to time be an active participant on both sides of the market for the underlying securities, commodities, futures, options or any other derivative or instrument identical or related to those mentioned herein (together, \"the Product\"). Goldman Sachs at any time may have long or short positions in, or buy and sell Products (on a principal basis or otherwise) identical or related to those mentioned herein. Goldman Sachs hedging and trading activities may affect the value of the Products. \n",
    "\n",
    "Counterparty Credit Risk: Because Goldman Sachs, may be obligated to make substantial payments to you as a condition of an OTC derivative transaction, you must evaluate the credit risk of doing business with Goldman Sachs or its affiliates. \n",
    "\n",
    "Pricing and Valuation: The price of each OTC derivative transaction is individually negotiated between Goldman Sachs and each counterparty and Goldman Sachs does not represent or warrant that the prices for which it offers OTC derivative transactions are the best prices available, possibly making it difficult for you to establish what is a fair price for a particular OTC derivative transaction; The value or quoted price of the Product at any time, however, will reflect many factors and cannot be predicted. If Goldman Sachs makes a market in the offered Product, the price quoted by Goldman Sachs would reflect any changes in market conditions and other relevant factors, and the quoted price (and the value of the Product that Goldman Sachs will use for account statements or otherwise) could be higher or lower than the original price, and may be higher or lower than the value of the Product as determined by reference to pricing models used by Goldman Sachs. If at any time a third party dealer quotes a price to purchase the Product or otherwise values the Product, that price may be significantly different (higher or lower) than any price quoted by Goldman Sachs. Furthermore, if you sell the Product, you will likely be charged a commission for secondary market transactions, or the price will likely reflect a dealer discount. Goldman Sachs may conduct market making activities in the Product. To the extent Goldman Sachs makes a market, any price quoted for the OTC derivative transactions, Goldman Sachs may differ significantly from (i) their value determined by reference to Goldman Sachs pricing models and (ii) any price quoted by a third party. The market price of the OTC derivative transaction may be influenced by many unpredictable factors, including economic conditions, the creditworthiness of Goldman Sachs, the value of any underlyers, and certain actions taken by Goldman Sachs. \n",
    "\n",
    "Market Making, Investing and Lending: Goldman Sachs engages in market making, investing and lending businesses for its own account and the accounts of its affiliates in the same or similar instruments underlying OTC derivative transactions (including such trading as Goldman Sachs deems appropriate in its sole discretion to hedge its market risk in any OTC derivative transaction whether between Goldman Sachs and you or with third parties) and such trading may affect the value of an OTC derivative transaction. \n",
    "\n",
    "Early Termination Payments: The provisions of an OTC Derivative Transaction may allow for early termination and, in such cases, either you or Goldman Sachs may be required to make a potentially significant termination payment depending upon whether the OTC Derivative Transaction is in-the-money to Goldman Sachs or you at the time of termination. Indexes: Goldman Sachs does not warrant, and takes no responsibility for, the structure, method of computation or publication of any currency exchange rates, interest rates, indexes of such rates, or credit, equity or other indexes, unless Goldman Sachs specifically advises you otherwise.\n",
    "Risk Disclosure Regarding futures, options, equity swaps, and other derivatives as well as non-investment-grade securities and ADRs: Please ensure that you have read and understood the current options, futures and security futures disclosure document before entering into any such transactions. Current United States listed options, futures and security futures disclosure documents are available from our sales representatives or at http://www.theocc.com/components/docs/riskstoc.pdf,  http://www.goldmansachs.com/disclosures/risk-disclosure-for-futures.pdf and https://www.nfa.futures.org/investors/investor-resources/files/security-futures-disclosure.pdf, respectively. Certain transactions - including those involving futures, options, equity swaps, and other derivatives as well as non-investment-grade securities - give rise to substantial risk and are not available to nor suitable for all investors. If you have any questions about whether you are eligible to enter into these transactions with Goldman Sachs, please contact your sales representative. Foreign-currency-denominated securities are subject to fluctuations in exchange rates that could have an adverse effect on the value or price of, or income derived from, the investment. In addition, investors in securities such as ADRs, the values of which are influenced by foreign currencies, effectively assume currency risk.\n",
    "Options Risk Disclosures: Options may trade at a value other than that which may be inferred from the current levels of interest rates, dividends (if applicable) and the underlier due to other factors including, but not limited to, expectations of future levels of interest rates, future levels of dividends and the volatility of the underlier at any time prior to maturity. Note: Options involve risk and are not suitable for all investors. Please ensure that you have read and understood the current options disclosure document before entering into any standardized options transactions. United States listed options disclosure documents are available from our sales representatives or at http://theocc.com/publications/risks/riskstoc.pdf. A secondary market may not be available for all options. Transaction costs may be a significant factor in option strategies calling for multiple purchases and sales of options, such as spreads. When purchasing long options an investor may lose their entire investment and when selling uncovered options the risk is potentially unlimited. Supporting documentation for any comparisons, recommendations, statistics, technical data, or other similar information will be supplied upon request.\n",
    "This material is for the private information of the recipient only. This material is not sponsored, endorsed, sold or promoted by any sponsor or provider of an index referred herein (each, an \"Index Provider\"). GS does not have any affiliation with or control over the Index Providers or any control over the computation, composition or dissemination of the indices. While GS will obtain information from publicly available sources it believes reliable, it will not independently verify this information. Accordingly, GS shall have no liability, contingent or otherwise, to the user or to third parties, for the quality, accuracy, timeliness, continued availability or completeness of the data nor for any special, indirect, incidental or consequential damages which may be incurred or experienced because of the use of the data made available herein, even if GS has been advised of the possibility of such damages.\n",
    "iTraxx® is a registered trade mark of International Index Company Limited.\n",
    "iTraxx® is a trade mark of International Index Company Limited and has been licensed for the use by Goldman Sachs Japan Co., Ltd. International Index Company Limited does not approve, endorse or recommend Goldman Sachs Japan Co., Ltd. or iTraxx® derivatives products.\n",
    "iTraxx® derivatives products are derived from a source considered reliable, but neither International Index Company Limited nor any of its employees, suppliers, subcontractors and agents (together iTraxx Associates) guarantees the veracity, completeness or accuracy of iTraxx® derivatives products or other information furnished in connection with iTraxx® derivatives products. No representation, warranty or condition, express or implied, statutory or otherwise, as to condition, satisfactory quality, performance, or fitness for purpose are given or assumed by International Index Company Limited or any of the iTraxx Associates in respect of iTraxx® derivatives products or any data included in such iTraxx® derivatives products or the use by any person or entity of iTraxx® derivatives products or that data and all those representations, warranties and conditions are excluded save to the extent that such exclusion is prohibited by law.\n",
    "None of International Index Company Limited nor any of the iTraxx Associates shall have any liability or responsibility to any person or entity for any loss, damages, costs, charges, expenses or other liabilities whether caused by the negligence of International Index Company Limited or any of the iTraxx Associates or otherwise, arising in connection with the use of iTraxx® derivatives products or the iTraxx® indices.\n",
    "Standard & Poor's ® and S&P ® are registered trademarks of The McGraw-Hill Companies, Inc. and S&P GSCI™ is a trademark of The McGraw-Hill Companies, Inc. and have been licensed for use by the Issuer. This Product (the \"Product\") is not sponsored, endorsed, sold or promoted by S&P and S&P makes no representation, warranty or condition regarding the advisability of investing in the Product.\n"
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